In mathematics, an interval exchange transformation is a kind of dynamical system that generalises circle rotation. The phase space consists of the unit interval, and the transformation acts by cutting the interval into several subintervals, and then permuting these subintervals. They arise naturally in the study of polygonal billiards and in . (Wikipedia).
Integration 12_5_4 Trigonometric Integration.mov
Another example of trigonometric substitution.
From playlist Integration
Integration 8 The Substitution Rule in Integration Part 2 Example 1
Working through an example of substitution in integration.
From playlist Integration
Integration 12_5_3 Trigonometric Integration.mov
Another example of trigonometric substitution.
From playlist Integration
Integration 8 The Substitution Rule in Integration Part 2 Example 6
Working through an example using substitution in integration.
From playlist Integration
Integration Using Substitution - Part 1 of 2
This video shows how to use substitution to integrate. http://mathispower4u.yolasite.com/
From playlist Integration Intro
Integration 8 The Substitution Rule for Integration Part 1
An explanation of the reverse of the chain rule in integration.
From playlist Integration
Solving Systems of Equations using Substitution
http://mathispower4u.wordpress.com/
From playlist Systems of Equations and Inequalities
Ahlfors-Bers 2014 "On isomorphism and disjointness of interval exchanges and flows on flat surfaces"
Jon Chaika (University of Utah): A basic question in dynamical systems is when are two systems isomorphic. Starting from rotations of the circle and flows on tori we will talk about the fact that typical interval exchanges and flows on flat surfaces are not isomorphic. In fact, they satisf
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
Integration 8 The Substitution Rule in Integration Part 2 Example 7
Working through an example using substitution in integration.
From playlist Integration
Integrals: Integration By Substitution
This is the third video of a series from the Worldwide Center of Mathematics explaining the basics of integration. This video explains how to integrate using u-substitutions. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Integration
Benjamin Weiss: Christian Mauduit in ergodic theory
While most of Christian’s work was in number theory he made important contributions to several aspects of ergodic theory throughout his career. I will discuss some of these and their impact on later developments. Recording during the meeting "Prime Numbers, Determinism and Pseudorandomnes
From playlist Dynamical Systems and Ordinary Differential Equations
S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 1)
1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to physics 4. Lyapunov exponents for the Rauzy gasket: what do we know about them 5. Multidimensi
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
The SL (2, R) action on spaces of differentials (Lecture 01) by Jayadev Athreya
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
O. Paris-Romaskevich - Triangle tiling billiards
Tiling billiards is a dynamical system in which a billiard ball moves through the tiles of some fixed tiling in a way that its trajectory is a broken line, with breaks admitted only at the boundaries of the tiles. One can think about this system as a movement of the refracted light. In thi
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Deviation Spectrum of Ergodic Integrals for Locally Hamiltonian Flows on Surfaces- Krzysztof Fraczek
Special Year Research Seminar Topic: Deviation Spectrum of Ergodic Integrals for Locally Hamiltonian Flows on Surfaces Speaker: Krzysztof Fraczek Affiliation: Nicolaus Copernicus University Date: November 08, 2022 The talk will consists of a long historical introduction to the topic of
From playlist Mathematics
From order to chaos - Pisa, April, 12 - 2018
Centro di Ricerca Matematica Ennio De Giorgi http://crm.sns.it/event/419/ FROM ORDER TO CHAOS - Pisa 2018 Funded by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement N°647133) and partially supported by GNAMPA-I
From playlist Centro di Ricerca Matematica Ennio De Giorgi
S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 2)
1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to physics 4. Lyapunov exponents for the Rauzy gasket: what do we know about them 5. Multidimensi
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Integration 8 The Substitution Rule in Integration Part 2 Example 4
Working through and example using the reverse of the chain rule in integration.
From playlist Integration
Jon Fickenscher: Number of ergodic and generic measures for minimal subshifts
Subshifts on finite alphabets form a class of dynamical systems that bridge topological/ergodic dynamical systems with that of word combinatorics. In 1984, M. Boshernitzan used word combinatorics to provide a bound on the number of ergodic measures for a minimal subshift with bounds on its
From playlist Virtual Conference